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Finding the Fourth Proportional to 277,342.38, 416,076.21 and 87,814.26

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Solution

The fourth proportional to 277,342.38, 416,076.21 and 87,814.26 is: 131,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,342.38 : 416,076.21 = 87,814.26 : x
  2. Step 2: Convert to fraction form
    277,342.38/416,076.21 = 87,814.26/x
  3. Step 3: Cross multiply
    277,342.38x = 416,076.21 × 87,814.26
  4. Step 4: Simplify right side
    277,342.38x = 36,537,424,484.75
  5. Step 5: Solve for x
    x = 36,537,424,484.75/277,342.38
  6. Step 6: Final answer
    x = 131,741.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.